3. Evaluate with intermediate scores partial or only partially correct solutions.

For example, in the case of exercise 16, assign (the suggested scores are not cumulative):

- 1 point for correctly drawing the figure
- 4 points for proving that triangle $A B D$ is isosceles
- 5 points for also observing the equality of angles $D \widehat{A} H, B \widehat{A} H$
- 7 points for proving that $E, H$ belong to the circle with diameter $A C$
- 9 points for recognizing $B \widehat{A} H$ as an angle at the circumference that subtends arc $A H$
- 12 points obviously, for concluding the proof.

For example, in the case of exercise 17, assign (the suggested scores are not cumulative):

- 1 point for noting the solutions with $n=1$ and $n=2$
- 2 points for noting that it is possible to simplify a factor of 3
- 3 points for making both of the above observations
- 4 points for finding all solutions (even without simplifying the factor of 3)
- 5 points for simplifying the factor of 3, finding all solutions, and conjecturing (without proof) that there are no others
- 5 points for simplifying the factor of 3 and attempting to use notable products to factorize the numerator (at least in one case)
- 8 points for correctly solving one of the two cases ($m$ even or $m$ odd)
- 9 points for correctly solving one of the two cases and providing the correct conjecture for the other case
- 12 points obviously, for concluding the proof.